Least Common Multiple of 9745 and 9750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9745 and 9750 the smallest integer that is 19002750 that is divisible by both numbers.

Least Common Multiple (LCM) of 9745 and 9750 is 19002750.

LCM(9745,9750) = 19002750

LCM of 9745 and 9750

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9745 and 9750

LCM of 9745 and 9750 is 19002750

Least common multiple can be found by multiplying the highest exponent prime factors of 9745 and 9750. First we will calculate the prime factors of 9745 and 9750.

Prime Factorization of 9745


5 9745
1949 1949
1

Prime factors of 9745 are 5,1949. Prime factorization of 9745 in exponential form is:

9745 = 51×19491

Prime Factorization of 9750


2 9750
3 4875
5 1625
5 325
5 65
13 13
1

Prime factors of 9750 are 2, 3, 5,13. Prime factorization of 9750 in exponential form is:

9750 = 21×31×53×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9745 and 9750.

LCM(9745,9750) = 21×31×53×131×19491
LCM(9745,9750) = 19002750

Factors of 9745

List of positive integer factors of 9745 that divides 9745 without a remainder.

1, 5, 1949, 9745

Factors of 9750

List of positive integer factors of 9750 that divides 9750 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750

Least Common Multiple of 9745 and 9750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9745 and 9750, than apply into the LCM equation.

GCF(9745,9750) = 5
LCM(9745,9750) = ( 9745 × 9750) / 5
LCM(9745,9750) = 95013750 / 5
LCM(9745,9750) = 19002750

Properties of LCM 9745 and 9750

(i) The LCM of 9750 and 9745 is associative

LCM of 9745 and 9750 = LCM of 9750 and 9745

Related Least Common Multiples of 9745

Related Least Common Multiples of 9750

Frequently Asked Questions on LCM of 9745 and 9750

1. What is the LCM of 9745 and 9750?

Answer: LCM of 9745 and 9750 is 19002750.

2. What are the Factors of 9745?

Answer: Factors of 9745 are 1, 5, 1949, 9745. There are 4 integers that are factors of 9745. The greatest factor of 9745 is 9745.

3. What are the Factors of 9750?

Answer: Factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750. There are 32 integers that are factors of 9750. The greatest factor of 9750 is 9750.

4. How to Find the LCM of 9745 and 9750?

Answer:

Least Common Multiple of 9745 and 9750 = 19002750

Step 1: Find the prime factorization of 9745

9745 = 5 x 1949

Step 2: Find the prime factorization of 9750

9750 = 2 x 3 x 5 x 5 x 5 x 13

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 19002750 = 2 x 3 x 5 x 5 x 5 x 13 x 1949

Step 4: Therefore, the least common multiple of 9745 and 9750 is 19002750.